kind.)
x + y = 57 (Equation 1: The total number of pounds sold is 57.)
4.73x + 0.84y = 121.79 (Equation 2: The total revenue from selling both types of jelly beans is $121.79.)
We can solve this system of equations using substitution or elimination method.
Let's solve using the substitution method:
From Equation 1: x = 57 - y
Substitute the value of x in Equation 2:
4.73(57 - y) + 0.84y = 121.79
269.61 - 4.73y + 0.84y = 121.79
Combine like terms:
-3.89y = -147.82
Divide both sides by -3.89:
y = 147.82 / 3.89
y ≈ 37.98 pounds
Substitute the value of y in Equation 1:
x + 37.98 = 57
x ≈ 19.02 pounds
Therefore, approximately 19.02 pounds of the first kind and 37.98 pounds of the second kind were sold.
Sarah Comar's Candy Store sold a total of 57 jelly beans, selling two kinds of jelly beans. The first kind was priced at $4.73 per pound, and the second was priced at $0.84 per pound. In all, $121.79 was taken in for the two types of jelly beans. How many pounds of each kind were sold? (Let x represent the number of pounds of the first kind and y represent the number of pounds of the second
1 answer
1 answer